10103220322313 has 8 divisors (see below), whose sum is σ = 10192785611400. Its totient is φ = 10013657774848.

The previous prime is 10103220322303. The next prime is 10103220322319. The reversal of 10103220322313 is 31322302230101.

It can be written as a sum of positive squares in 4 ways, for example, as 193140033529 + 9910080288784 = 439477^2 + 3148028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10103220322313 - 2¹⁶ = 10103220256777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10103220322319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7108583 + ... + 8410611.

It is an arithmetic number, because the mean of its divisors is an integer number (1274098201425).

Almost surely, 2^{10103220322313} is an apocalyptic number.

It is an amenable number.

10103220322313 is a deficient number, since it is larger than the sum of its proper divisors (89565289087).

10103220322313 is a wasteful number, since it uses less digits than its factorization.

10103220322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370811.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10103220322313 its reverse (31322302230101), we get a palindrome (41425522552414).

The spelling of 10103220322313 in words is "ten trillion, one hundred three billion, two hundred twenty million, three hundred twenty-two thousand, three hundred thirteen".